The answer to the question
The question that is asked is pretty straight forward. Only thing that needs to be found is the number of 30 in the number 600. By dividing 600 by 30 we can arrive at the desired result.
Number of 30 in 600 = 600/30
= 60/3
= 20
So there are 20 number of 30s in the number 600. This method can be used to find answers to several other similar kind of questions like the number of 10s in 1000.Following the same procedure we get
Number of 10 in 1000 = 1000/10
= 100
Answer: $107,836.69 or about $107,837 (to the nearest dollar)
Step-by-step explanation:
Formula to the accumulated amount received after investing principal amount (P) at rate of interest (r) compounded monthly for t months :
![A=P(1+\dfrac{r}{12})^{t}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cdfrac%7Br%7D%7B12%7D%29%5E%7Bt%7D)
As per given , A = $130,000
r= 7.5% = 0.075
t= 30 months
Now,
![130000=P(1+\dfrac{0.075}{12})^{30}\\\\\Rightarrow 130000=P(1+0.00625)^{30}\\\\\Rightarrow 130000=P(1.00625)^{30}\\\\\Rightarrow 130000=P \times1.20552661036\\\\\Rightarrow\ P=\dfrac{130000}{1.2055266}=107,836.69](https://tex.z-dn.net/?f=130000%3DP%281%2B%5Cdfrac%7B0.075%7D%7B12%7D%29%5E%7B30%7D%5C%5C%5C%5C%5CRightarrow%20130000%3DP%281%2B0.00625%29%5E%7B30%7D%5C%5C%5C%5C%5CRightarrow%20130000%3DP%281.00625%29%5E%7B30%7D%5C%5C%5C%5C%5CRightarrow%20130000%3DP%20%5Ctimes1.20552661036%5C%5C%5C%5C%5CRightarrow%5C%20%20%20P%3D%5Cdfrac%7B130000%7D%7B1.2055266%7D%3D107%2C836.69)
Hence he need to invest $107,836.69 .
Answer:
6,000
Step-by-step explanation:
200,000 * 0.03 = 6,000
Firstly , we can draw diagram
we can see that
adjacent = 850
opposite =250
so, we can use tan formula
![tan(x)=\frac{250}{850}](https://tex.z-dn.net/?f=%20tan%28x%29%3D%5Cfrac%7B250%7D%7B850%7D%20%20)
![x=tan^{-1}(\frac{250}{850})](https://tex.z-dn.net/?f=%20x%3Dtan%5E%7B-1%7D%28%5Cfrac%7B250%7D%7B850%7D%29%20%20)
16.38
![x=16.38](https://tex.z-dn.net/?f=%20x%3D16.38%20%20)
so,
angle of depression is 16.38 degree........Answer